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A190112 Number of 2:3:sqrt(13) proportioned triangles on a (n+1)X(n+1) grid 2

%I #6 Mar 31 2012 12:36:19

%S 0,0,16,48,120,248,440,736,1152,1720,2464,3440,4672,6192,8080,10344,

%T 13040,16264,20024,24376,29456,35248,41832,49360,57808,67280,77936,

%U 89760,102840,117392,133376,150888,170184,191200,214048,239016,266024,295184

%N Number of 2:3:sqrt(13) proportioned triangles on a (n+1)X(n+1) grid

%C Diagonal of A190113

%H R. H. Hardin, <a href="/A190112/b190112.txt">Table of n, a(n) for n = 1..99</a>

%F Empirical: a(n) = a(n-1) +2*a(n-3) -2*a(n-4) -a(n-6) +a(n-7) +a(n-9) -a(n-10) -2*a(n-12) +3*a(n-13) -a(n-14) +a(n-15) -3*a(n-16) +2*a(n-17) +a(n-19) -a(n-20) -a(n-22) +a(n-23) +2*a(n-25) -2*a(n-26) -a(n-28) +a(n-29)

%e Some solutions for n=5

%e ..2..1....1..0....3..5....3..2....3..0....1..5....0..5....3..3....4..2....2..3

%e ..2..4....1..3....3..2....0..5....3..3....1..3....0..3....0..3....2..2....2..5

%e ..4..1....3..0....5..5....1..0....5..0....4..5....3..5....3..1....4..5....5..3

%K nonn

%O 1,3

%A _R. H. Hardin_ May 04 2011

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Last modified April 19 11:31 EDT 2024. Contains 371792 sequences. (Running on oeis4.)